Local Gersten’s conjecture for regular system of parameters
نویسنده
چکیده
The previous works in [HM09], we turn out that Gersten’s conjecture is equivalent to its local version. To state local Gersten’s conjecture, we start from recalling the notation from [HM09], [MS10]. In this paper, let us fix a commutative regular local ring A of Krull dimension d. For any ideal of A generated by a regular sequence I, we denote the category of finitely generated A-modules M whose support are in V (I) and whose projective dimension is less than p by MA(p). If ht I = p, we write Wt I A := M I A. Gersten’s conjecture is equivalent to the following local Gersten’s conjecture for every I. (See [MS10].) Let I be a height p ideal generated by regular sequence.
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